Issolvi 5/sqrt{2}*frac{sqrt{2}}{2}

$$\frac { 5 } { \sqrt { 2 } } \cdot \frac { \sqrt { 2 } } { 2 }$$

Evalwa

$$\frac{5}{2}=2.5$$

Passi tas-Soluzzjonijiet

Irrazzjonalizza d-denominatur tal-\frac{5}{\sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$\frac{5\sqrt{2}}{\left(\sqrt{2}\right)^{2}}\times \frac{\sqrt{2}}{2}$$

Il-kwadrat ta' \sqrt{2} huwa 2.

$$\frac{5\sqrt{2}}{2}\times \frac{\sqrt{2}}{2}$$

Immultiplika \frac{5\sqrt{2}}{2} b'\frac{\sqrt{2}}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{5\sqrt{2}\sqrt{2}}{2\times 2}$$

Immultiplika \sqrt{2} u \sqrt{2} biex tikseb 2.

$$\frac{5\times 2}{2\times 2}$$

Annulla 2 fin-numeratur u d-denominatur.

$$\frac{5}{2}$$

Fattur

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$